CN103610227A - Cut tobacco dryer head and tail section process variable optimizing control method - Google Patents

Cut tobacco dryer head and tail section process variable optimizing control method Download PDF

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CN103610227A
CN103610227A CN201310659839.1A CN201310659839A CN103610227A CN 103610227 A CN103610227 A CN 103610227A CN 201310659839 A CN201310659839 A CN 201310659839A CN 103610227 A CN103610227 A CN 103610227A
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dry
rbf
cut
cubic
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CN103610227B (en
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彭辉
顾云峰
王丹
刘明月
李立
阮文杰
魏吉敏
肖玉娇
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Central South University
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Central South University
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Abstract

The invention discloses a cut tobacco dryer head and tail section process variable optimizing control method. According to historical data of drum temperature, air temperature, moisture removing air door and other process variables of the head section and the tail section in the cut tobacco drying process, a cubic function is adopted to serve as a Cubic-RBF-ARX model of a radial basis function to carry out modeling on cut tobacco drying dynamic features; the built model has a self-adjustment capacity, can reflect influences of changes of inlet flow and inlet moisture on outlet moisture in different modes, and can predict the change situation of the outlet moisture in the future according to the changes of the inlet flow and the inlet moisture of the head section and the tail section in different modes; optimizing setting is carried out on the process variables according to the built model, so that a good effect of controlling cut tobacco outlet moisture on the head section and on the tail section is achieved. According to the method, influences of incoming material flow and moisture changes on the head section and the tail section can be effectively overcome in the cut tobacco drying process, and the method is suitable for head and tail section control of the cut tobacco inlet flow and the inlet moisture in different modes.

Description

A kind of cut-tobacco drier is segment process variable optimal control method end to end
Technical field
The present invention relates to cut-tobacco drier segment process variable optimal control method end to end.
Background technology
Drying silk process is most important one manufacturing procedure in cigarette fiber tow production, it is mainly by cut tobacco is carried out to heat drying, reduces the moisture content of cut tobacco, makes to toast moisture content, the temperature uniformity of rear cut tobacco, and be controlled in certain number range, to meet manufacturing technique requirent.The technological process of drying silk is mainly divided into preheating, dry head, middle and four parts of dry tail process.In a dry stage, cut tobacco inlet flow rate constantly increases, but without the detected value of cut tobacco moisture content of outlet, is difficult to carry out FEEDBACK CONTROL, easily causes that a dry stage moisture content of outlet controlled a poor quality, siccative is many; In the dry tail stage, because cut tobacco inlet flow rate reduces suddenly, and dry silk cylinder, there is larger thermal capacitance, barrel internal temperature is difficult to degradation problem under speed in accordance with regulations, also easily causes that dry tail stage moisture content of outlet control performance is low and siccative is many.Therefore, " over-dried cut tobacco " is to dry at present the difficult point place that silk procedure exit moisture is controlled.
Existing over-dried cut tobacco course control method for use mainly contains:
(1) utilize the material and the drying medium that enter and export cut-tobacco drier to set up Mathematical Modeling as heat and mass balance object, in conjunction with the control mode of feedforward PID adjustment barrel temperature.But feedforward Mathematical Modeling has only been considered moisture content and the flow of charging, do not consider hot blast temperature etc. other have the factor of material impact to moisture content of outlet, can not the true process of complete reaction, cause section tobacco-dryer exit moisture fluctuation end to end greatly, need operating personnel to carry out manual intervention, for section supplied materials under different mode, that there is different inlet flow rates and entrance moisture end to end, be difficult to obtain satisfied control effect.
(2), on the basis of above-mentioned FEEDFORWARD CONTROL, in section end to end, increase the correct tailing of steam damping device and apply steam water and improve the moisture content of material end to end, to reduce siccative amount.But the method is only carried out humidification to cut tobacco top layer, only improved cut tobacco top layer humidity, still can cause the reduction of pipe tobacco inherent quality, and increase difficulty and stability that moisture content of outlet is controlled.
(3) by test of many times, seek the best stage hot blast temperature value and adjust the technological parameters such as humidity discharging valve opening and reduce siccative amount end to end.The method lacks self-adjusting ability, cannot guarantee that when having the supplied materials of different inlet flow rates and entrance moisture under different mode, this group technological parameter is optimal setting;
(4), on the basis of PID control strategy, the thought of fuzzy control is applied in moisture in cut tobacco dryer control.
Only with simple two-dimensional fuzzy controller, solve the control problem of drying silk procedure exit moisture and still cannot obtain optimum processing parameter setting value, and for the variation of the inlet flow rate under different mode and entrance moisture, also need fuzzy control rule table to adjust, this makes troubles to industrial production.
Summary of the invention
Technical problem to be solved by this invention is, not enough for prior art, a kind of cut-tobacco drier segment process variable optimal control method is end to end provided, make a dry stage cut tobacco moisture content of outlet rise as quickly as possible, also arrive fast stable state, dry tail stage cut tobacco moisture content of outlet is declined as far as possible lentamente, thereby effectively reduce the siccative amount of section end to end, improve the control performance that dries silk process; More effectively overcome supplied materials flow and moisture and change drying an impact for silk procedure heading rear, the inconvenience of the input state-variable parameter of avoiding manually adjusting.
For solving the problems of the technologies described above, the technical solution adopted in the present invention is: a kind of cut-tobacco drier is segment process variable optimal control method end to end, and the method is:
1) according to the operational process of cut-tobacco drier, set up the sequential relationship of drying cut tobacco inlet flow rate in silk process, entrance moisture, cylinder temperature, wind-warm syndrome, humidity discharging air door, moisture content of outlet, according to drying a dry stage of silk process, without cut tobacco moisture content of outlet detected value, dry tail stage, without cut tobacco inlet flow rate and inlet water, divide the feature of detected value simultaneously, adopt cubic function as the Cubic-RBF-ARX model of RBF, set up respectively the Cubic-RBF-ARX model that dries a dry stage of silk process and dry tail stage;
2) according to the cut-tobacco drier history data of section end to end, adopt structuring nonlinear parameter optimization method to optimize respectively the Cubic-RBF-ARX model that dries a dry stage of silk process and dry tail stage;
3), according to the Cubic-RBF-ARX model in a dry stage of the baking silk process of optimizing and dry tail stage, adopt two S type functions to describe the optimum input curve of the humidity discharging air door in a dry stage, wind-warm syndrome, cylinder temperature; Adopt jump function to describe the optimum input curve of the inlet flow rate in a dry stage; Adopt exponential function to describe the optimum input curve of dry tail stage humidity discharging air door, wind-warm syndrome, the gentle cylindrical shell electric machine frequency of cylinder;
4) adopt row dimension Bouguer Nai Kuier special formula method, the error of the moisture content of outlet predicted value calculating by the Cubic-RBF-ARX model of doing a stage and dry tail stage that makes to optimize and moisture content of outlet setting value is minimum, find out the parameter of the optimum input curve in a dry stage of baking silk process and dry tail stage, to adapt to the variation of supplied materials situation, reduce the siccative amount in dry tail stage.
In described step 1), the dry stage Cubic-RBF-ARX model of cut-tobacco drier is:
Figure BDA0000432678430000021
Wherein:
Figure BDA0000432678430000031
Wherein, y h(t h) represent the moisture content of outlet of the dry stage Cubic-RBF-ARX model of cut-tobacco drier;
Figure BDA0000432678430000032
the humidity discharging throttle opening, wind-warm syndrome, cylinder temperature, inlet flow rate and the entrance moisture that represent respectively a dry stage Cubic-RBF-ARX model; X h(t h-1) be the state variable of inlet flow rate and entrance moisture; Np h, nq h, d hand m hall represent the order of a dry stage Cubic-RBF-ARX model;
Figure BDA0000432678430000033
be respectively the center of the RBF neutral net of a dry stage Cubic-RBF-ARX model output item and input item;
Figure BDA0000432678430000034
Figure BDA0000432678430000035
scalar weight coefficient for a dry stage Cubic-RBF-ARX model; || || fthe Frobenius norm of representing matrix; ξ h(t h) be the modeling error of a dry stage Cubic-RBF-ARX model, be white Gaussian noise; T 0 hfor a dry stage Cubic-RBF-ARX model modeling sampling time of cut-tobacco drier, T 1for from having inlet flow rate detected value to the time that has inlet water to divide detected value, T 2for from there being inlet water to divide detected value to the time that has moisture content of outlet detected value, T 3for from there being inlet water to divide detected value to the time of drying silk cylinder entrance, T 4for cut tobacco is in the time of drying the oven dry of silk cylinder.
In described step 1), Cubic-RBF-ARX model of dry tail stage of cut-tobacco drier is:
Figure BDA0000432678430000041
Wherein:
Figure BDA0000432678430000042
Wherein, y t(t t) represent the moisture content of outlet of Cubic-RBF-ARX model of dry tail stage of cut-tobacco drier;
Figure BDA0000432678430000043
the cylinder temperature, hot blast wind-warm syndrome, humidity discharging throttle opening, inlet flow rate, entrance moisture and the cylindrical shell electric machine frequency that represent respectively dry tail stage Cubic-RBF-ARX model; X t(t t-1) be the state variable of hot blast wind-warm syndrome and cylindrical shell electric machine frequency; Np t, nq t, d tand m tthe order that all represents dry tail stage Cubic-RBF-ARX model;
Figure BDA0000432678430000044
Figure BDA0000432678430000045
be respectively the center of the RBF neutral net of dry tail stage Cubic-RBF-ARX model output item and input item;
Figure BDA0000432678430000046
Figure BDA0000432678430000047
scalar weight coefficient for dry tail stage Cubic-RBF-ARX model; ξ t(t t) be dry tail stage Cubic-RBF-ARX model modeling error, be white Gaussian noise; T 0 tfor the dry tail of the cut-tobacco drier stage Cubic-RBF-ARX model modeling sampling time.
Described step 2), in, the dry stage Cubic-RBF-ARX model optimization of cut-tobacco drier is as follows:
( θ ^ N H , θ ^ L H ) = arg min θ N H , θ L H Σ t oh = 1 N H ( y ‾ H ( t oh ) - y ^ H ( t oh ) ) 2
Wherein, the actual value of the dry stage moisture content of outlet of cut-tobacco drier,
Figure BDA0000432678430000053
under actual input action, by the predicted value of the dry moisture content of outlet that stage Cubic-RBF-ARX model calculates of cut-tobacco drier; θ ^ L H = { ω 0 H , 0 , ω i H , 0 y H , ω n , j H , 0 u H , ω k H H , 0 , ω i H , k H y H , ω j H , k H u H | i H = 1 , . . . , np H ; j H = 1 , . . . , nq H ; k H = 1 , . . . , m H } Linear dimensions for the dry stage Cubic-RBF-ARX model of cut-tobacco drier;
Figure BDA0000432678430000055
nonlinear parameter for the dry stage Cubic-RBF-ARX model of cut-tobacco drier; N hfor the dry stage Cubic-RBF-ARX model modeling data length of cut-tobacco drier.
Cubic-RBF-ARX model optimization of dry tail stage of cut-tobacco drier is as follows:
( θ ^ N T , θ ^ L T ) = arg min θ N T , θ L T Σ t ot = 1 N T ( y ‾ T ( t ot ) - y ^ T ( t ot ) ) 2
Wherein,
Figure BDA0000432678430000057
it is the actual value of the dry tail process of cut-tobacco drier middle outlet moisture; under actual input action, the predicted value of the moisture content of outlet being calculated by the dry tail of cut-tobacco drier stage Cubic-RBF-ARX model; θ L T = { ω 0 T , 0 , ω i T , 0 y T , ω n , j T , 0 u T , ω k T T , 0 , ω i T , k T y T , ω j T , k T u T | i T = 1 , . . . , np T ; j T = 1 , . . . , nq T ; k T = 1 , . . . , m T } For the linear dimensions of the dry tail of cut-tobacco drier stage Cubic-RBF-ARX model,
Figure BDA00004326784300000510
nonlinear parameter for the dry tail of cut-tobacco drier stage Cubic-RBF-ARX model; N tfor the dry stage Cubic-RBF-ARX model modeling data length of cut-tobacco drier.
In described step 3):
For describing two S type function expression formulas of the optimum input curve of the dry stage humidity discharging air door of cut-tobacco drier, wind-warm syndrome, cylinder temperature, be:
U sc ( t s ) = λ 1 1 + e t s - λ 2 λ 3 + λ 4 + λ 5 1 + e t s - λ 6 λ 7
Wherein, t sfor the time of input, unit is s; λ 1, λ 4, λ 5be respectively starting point, turning point and the end point values of two S type functions; λ 2, λ 6be respectively two symmetry axis centers of two S type functions; λ 3, λ 7be respectively the speed that two S type functions rise or decline; λ 3, λ 7be greater than at 0 o'clock and represent that S type function rises, λ 3, λ 7be less than at 0 o'clock and represent that S type function declines; C=1,2,3, U s1(t s) be the setting value of humidity discharging air door; U s2(t s) be the setting value of wind-warm syndrome; U s3(t s) be the setting value of cylinder temperature.
For describing the jump function expression formula of the optimum input curve of the dry stage inlet flow rate of cut-tobacco drier, be:
U T ( t T ) = κ 1 t T κ 2 t T ∈ [ 1 , κ 2 ] κ 1 t T ∈ [ κ 2 + 1 , κ 3 ] ;
Wherein, t tfor the time of input, unit is s; κ 1, κ 2, κ 3be respectively the rate of climb, rise time and the final value of jump function.
In described step 4), cut-tobacco drier is done a moisture content of outlet predicted value that stage Cubic-RBF-ARX model calculates
Figure BDA0000432678430000062
for: y ‾ H ( t a ) = f ( U s 1 ( t a ) , U s 2 ( t a ) , U s 3 ( t a ) , U T ( t a ) ) ,
Figure BDA0000432678430000064
by cut-tobacco drier being done to the constructed input variable of doing a stage Cubic-RBF-ARX of Optimal Setting curve substitution of each state-variable of stage
Figure BDA0000432678430000065
in obtain.By making a dry moisture content of outlet predicted value that stage Cubic-RBF-ARX model calculates
Figure BDA0000432678430000066
with moisture content of outlet setting value y set(t a) error e h(t a) minimum, adopt row dimension Bouguer Nai Kuier special formula method solving-optimizing problem
Figure BDA0000432678430000067
find out the parameter lambda of the input curve of a dry stage humidity discharging air door, wind-warm syndrome, cylinder temperature xparameter κ with inlet flow rate input curve 1, κ 2, κ 3; Wherein, x=1,2 ..., 7; G=1,2,3; M is the dry lasting time in a stage.
In described step 3), for describing the expression formula of exponential function of the optimum input curve of dry tail stage humidity discharging air door, wind-warm syndrome, the gentle cylindrical shell electric machine frequency of cylinder, be:
U zp ( t z ) = α p 1 × ( α p 2 ) t z + α p 3 p = 1,2,3,4 ;
U in formula z1(t z), U z2(t z), U z3(t z), U z4(t z) represent respectively the optimum input curve of dry tail stage humidity discharging air door, wind-warm syndrome, the gentle cylindrical shell electric machine frequency of cylinder.
In described step 4), the moisture content of outlet predicted value that the Cubic-RBF-ARX model in dry tail stage calculates
Figure BDA0000432678430000069
for: y ‾ T ( t b ) = f ( U z 1 ( t b ) , U z 2 ( t b ) , U z 3 ( t b ) , U z 4 ( t b ) ) ,
Figure BDA00004326784300000611
by by the input variable of the constructed dry tail stage Cubic-RBF-ARX model of the Optimal Setting curve substitution of the dry tail of cut-tobacco drier each state-variable of stage in obtain; By the moisture content of outlet predicted value that the Cubic-RBF-ARX model in dry tail stage is calculated
Figure BDA0000432678430000071
with moisture content of outlet setting value y' set(t b) error e t(t b) minimum, adopt row dimension Bouguer Nai Kuier special formula method solving-optimizing problem find out the parameter alpha of dry tail stage humidity discharging air door, wind-warm syndrome, the optimum input curve of the gentle cylindrical shell electric machine frequency of cylinder pg; Wherein, g=1,2,3; M' is the dry duration in tail stage.
Compared with prior art, the beneficial effect that the present invention has is: the inventive method can make a dry stage cut tobacco moisture content of outlet rise as quickly as possible, also arrive fast stable state, can make dry tail stage cut tobacco moisture content of outlet decline as far as possible lentamente, thereby effectively reduce the siccative amount of section end to end, improve the control performance that dries silk process, there is larger economic worth; The inventive method has considered the dynamic characteristic between supplied materials amount and each input variable, can more effectively overcome supplied materials flow and moisture and change drying an impact for silk procedure heading rear, be applicable to a tail end control of cut tobacco inlet flow rate and inlet water timesharing under different mode; The model optimization of the inventive method based on identification goes out optimum input setting curve, the inconvenience of the input state-variable parameter of having avoided manually adjusting.
Accompanying drawing explanation
Fig. 1 is cut-tobacco drier technical process schematic diagram.
The specific embodiment
Cut-tobacco drier technical process as shown in Figure 1.Before cut tobacco enters drying process, first detect the inlet flow rate u of cut tobacco 4with entrance moisture u 5.Through T 3time, cut tobacco arrives cut-tobacco drier porch.When cut tobacco is dried at baking silk cylinder, the humidity discharging throttle opening u of system meeting timing sampling cylindrical shell 1, wind-warm syndrome u 2, cylinder warm u 3deng state-variable parameter value.Drying course continues T 4time, the cut tobacco after oven dry is poured out from drying the outlet of silk cylinder, and in exit, measures cut tobacco moisture content of outlet value y.From having inlet flow rate detected value to there being moisture content of outlet detected value need experience one period of long period, for example certain dries silk production line approximately needs 340s.In addition, between the I/O variable of cut-tobacco drier, also there is larger time lag.
When inlet flow rate having been detected, show to dry silk process and bring into operation.Initial operating stage dries silk process has cut tobacco inlet flow rate and inlet water to divide detected value, there is no cut tobacco moisture content of outlet detected value, and now a dry stage of baking silk process starts.According to the characteristic of drying a dry stage of silk process, set up Cubic-RBF-ARX model structure:
Figure BDA0000432678430000081
Wherein:
Figure BDA0000432678430000082
Wherein, y h(t h) represent the moisture content of outlet of the dry stage Cubic-RBF-ARX model of cut-tobacco drier;
Figure BDA0000432678430000083
the humidity discharging throttle opening, wind-warm syndrome, cylinder temperature, inlet flow rate and the entrance moisture that represent respectively a dry stage Cubic-RBF-ARX model; X h(t h-1) be the state variable of inlet flow rate and entrance moisture; Np h, nq h, d hand m hall represent the order of a dry stage Cubic-RBF-ARX model;
Figure BDA0000432678430000084
be respectively the center of the RBF neutral net of a dry stage Cubic-RBF-ARX model output item and input item;
Figure BDA0000432678430000085
Figure BDA0000432678430000086
scalar weight coefficient for a dry stage Cubic-RBF-ARX model; || || fthe Frobenius norm of representing matrix; ξ h(t h) be the modeling error of a dry stage Cubic-RBF-ARX model, be white Gaussian noise; T 0 hfor a dry stage Cubic-RBF-ARX model modeling sampling time of cut-tobacco drier, T 1for from having inlet flow rate detected value to the time that has inlet water to divide detected value, T 2for from there being inlet water to divide detected value to the time that has moisture content of outlet detected value, T 3for from there being inlet water to divide detected value to the time of drying silk cylinder entrance, T 4for cut tobacco is in the time of drying the oven dry of silk cylinder.
When inlet flow rate is when normal value becomes 0, indicate the beginning of dry tail process, when moisture content of outlet drops to 3%, indicate the whole end of drying silk process of cut-tobacco drier.In dry tail process, without inlet flow rate detected value, but there is moisture content of outlet detected value.According to the characteristic of the dry tail procedure segment of cut-tobacco drier, set up following Cubic-RBF-ARX model:
Figure BDA0000432678430000091
Wherein:
Figure BDA0000432678430000092
Wherein, y t(t t) represent the moisture content of outlet of Cubic-RBF-ARX model of dry tail stage of cut-tobacco drier;
Figure BDA0000432678430000093
the cylinder temperature, hot blast wind-warm syndrome, humidity discharging throttle opening, inlet flow rate, entrance moisture and the cylindrical shell electric machine frequency that represent respectively dry tail stage Cubic-RBF-ARX model; X t(t t-1) be the state variable of hot blast wind-warm syndrome and cylindrical shell electric machine frequency; Np t, nq t, d tand m tthe order that all represents dry tail stage Cubic-RBF-ARX model;
Figure BDA0000432678430000101
Figure BDA0000432678430000102
be respectively the center of the RBF neutral net of dry tail stage Cubic-RBF-ARX model output item and input item;
Figure BDA0000432678430000103
scalar weight coefficient for dry tail stage Cubic-RBF-ARX model; ξ t(t t) be dry tail stage Cubic-RBF-ARX model modeling error, be white Gaussian noise; T 0 tfor the dry tail of the cut-tobacco drier stage Cubic-RBF-ARX model modeling sampling time.
The present invention adopts structuring nonlinear parameter optimization method (SNPOM) method to estimate model.For the Cubic-RBF-ARX model that makes to construct above can be described the overall dynamic characteristic of drying silk procedure heading rear, first we adopt SNPOM method to carry out parameter Optimized model, under the minimum situation of one-step prediction error, and using this parameter as the model parameter initial value under long-term forecast optimization aim.Then, adopt row dimension Bouguer Nai Kuier special formula methods (LMM) to carry out the optimization of the model parameter of long-term forecast best performance.
The Parametric optimization problem of the dry stage Cubic-RBF-ARX model (1) of cut-tobacco drier is as follows:
( θ ^ N H , θ ^ L H ) = arg min θ N H , θ L H Σ t oh = 1 N H ( y ‾ H ( t oh ) - y ^ H ( t oh ) ) 2 - - - ( 5 )
Wherein,
Figure BDA0000432678430000106
the actual value of the dry stage moisture content of outlet of cut-tobacco drier,
Figure BDA0000432678430000107
under actual input action, by the predicted value of the dry moisture content of outlet that stage Cubic-RBF-ARX model calculates of cut-tobacco drier; θ ^ L H = { ω 0 H , 0 , ω i H , 0 y H , ω n , j H , 0 u H , ω k H H , 0 , ω i H , k H y H , ω j H , k H u H | i H = 1 , . . . , np H ; j H = 1 , . . . , nq H ; k H = 1 , . . . , m H } Linear dimensions for the dry stage Cubic-RBF-ARX model of cut-tobacco drier;
Figure BDA0000432678430000109
nonlinear parameter for the dry stage Cubic-RBF-ARX model of cut-tobacco drier; N hfor the dry stage Cubic-RBF-ARX model modeling data length of cut-tobacco drier.
The Parametric optimization problem of Cubic-RBF-ARX model of dry tail stage of cut-tobacco drier (3) is as follows:
( θ ^ N T , θ ^ L T ) = arg min θ N T , θ L T Σ t ot = 1 N T ( y ‾ T ( t ot ) - y ^ T ( t ot ) ) 2 - - - ( 6 )
Wherein,
Figure BDA00004326784300001011
it is the actual value of the dry tail process of cut-tobacco drier middle outlet moisture;
Figure BDA00004326784300001012
under actual input action, the predicted value of the moisture content of outlet being calculated by the dry tail of cut-tobacco drier stage Cubic-RBF-ARX model; θ L T = { ω 0 T , 0 , ω i T , 0 y T , ω n , j T , 0 u T , ω k T T , 0 , ω i T , k T y T , ω j T , k T u T | i T = 1 , . . . , np T ; j T = 1 , . . . , nq T ; k T = 1 , . . . , m T } For the linear dimensions of the dry tail of cut-tobacco drier stage Cubic-RBF-ARX model,
Figure BDA00004326784300001014
nonlinear parameter for the dry tail of cut-tobacco drier stage Cubic-RBF-ARX model; N tfor the dry stage Cubic-RBF-ARX model modeling data length of cut-tobacco drier.
The optimum input curve that designs each state-variable according to the dry stage Cubic-RBF-ARX model of the baking silk process estimating to adapt to the variation of supplied materials situation, reduces the siccative amount in a dry stage as far as possible.The present invention adopts two S type functions to describe the optimum input curve of a dry stage humidity discharging air door, wind-warm syndrome, cylinder temperature, adopts step change type function to describe the optimum input curve of inlet flow rate.
Two S type curve equation are as follows:
U sc ( t s ) = λ 1 1 + e t s - λ 2 λ 3 + λ 4 + λ 5 1 + e t s - λ 6 λ 7 - - - ( 7 )
Wherein, t sfor the time of input, unit is s; λ 1, λ 4, λ 5be respectively starting point, turning point and the end point values of two S type functions; λ 2, λ 6be respectively two symmetry axis centers of two S type functions; λ 3, λ 7be respectively the speed that two S type functions rise or decline; λ 3, λ 7be greater than at 0 o'clock and represent that S type function rises, λ 3, λ 7be less than at 0 o'clock and represent that S type function declines; C=1,2,3, U s1(t s) be the setting value of humidity discharging air door; U s2(t s) be the setting value of wind-warm syndrome; U s3(t s) be the setting value of cylinder temperature.
The step change type function formula of describing inlet flow rate input curve is as follows:
U T ( t T ) = κ 1 t T κ 2 t T ∈ [ 1 , κ 2 ] κ 1 t T ∈ [ κ 2 + 1 , κ 3 ] - - - ( 8 )
Wherein, t tfor the time of input, unit is s; κ 1, κ 2, κ 3be respectively the rate of climb, rise time and the final value of jump function.
By the input variable of the constructed Cubic-RBF-ARX model (1) of Optimal Setting curve (7-8) substitution of each state-variable
Figure BDA0000432678430000113
in, can obtain the predicted value of a dry stage moisture content of outlet
Figure BDA0000432678430000114
y ‾ H ( t a ) = f ( U s 1 ( t a ) , U s 2 ( t a ) , U s 3 ( t a ) , U T ( t a ) ) - - - ( 9 )
Adopt row dimension Bouguer Nai Kuierte (Levenberg-Marquardt Method, LMM) method, by making the error of moisture content of outlet predicted value that model calculates and moisture content of outlet setting value minimum, find out the λ of a dry stage humidity discharging air door, wind-warm syndrome, the warm optimum input curve of cylinder i(i=1,2 ..., 7) and the κ of the optimum input curve of parameter and inlet flow rate j(j=1,2,3) parameter.Doing a stage moisture content of outlet setting value and the error based between a dry dynamic Model Prediction value (9) is:
e H ( t a ) = y set ( t a ) - y ‾ H ( t a ) - - - ( 10 )
Y set(t a) be moisture content of outlet setting value.
The optimization problem of a dry stage process variable optimum setting is as follows:
min λ x , κ g J = Σ t a = 1 M e H 2 ( t a ) - - - ( 11 )
M is a dry duration in stage.By solving above-mentioned optimization problem, can obtain the parameter value of optimum setting curve, thereby design the optimum input curve of dry each state-variable of stage of cut-tobacco drier.
The optimum input curve that designs each state-variable according to the baking silk process Cubic-RBF-ARX model of dry tail stage estimating to adapt to the variation of supplied materials situation, reduces the siccative amount in dry tail stage as far as possible.Adopt exponential type function to describe the optimum input curve of dry tail stage humidity discharging air door, wind-warm syndrome, the gentle cylindrical shell electric machine frequency of cylinder, this exponential type curve formula is as follows:
U zp ( t z ) = α p 1 × ( α p 2 ) t z + α p 3 p = 1,2,3,4 - - - ( 12 )
U in formula z1(t z), U z2(t z), U z3(t z), U z4(t z) represent respectively the optimum input curve of dry tail stage humidity discharging air door, wind-warm syndrome, the gentle cylindrical shell electric machine frequency of cylinder.By the input variable of the constructed Cubic-RBF-ARX model (3) of Optimal Setting curve (12) substitution of each state-variable
Figure BDA0000432678430000123
in, can obtain the predicted value of dry tail stage moisture content of outlet:
y ‾ T ( t b ) = f ( U z 1 ( t b ) , U z 2 ( t b ) , U z 3 ( t b ) , U z 4 ( t b ) ) - - - ( 13 )
Adopt row dimension Bouguer Nai Kuierte (LMM) method, minimum with the error of moisture content of outlet setting value by the moisture content of outlet predicted value that model is calculated, find out the α of dry tail stage humidity discharging air door, wind-warm syndrome, the gentle cylindrical shell electric machine frequency optimum of cylinder input curve pg; Wherein, g=1,2,3.Dry tail stage moisture content of outlet setting value and the error based between dry tail dynamic Model Prediction value (13) are:
e T ( t b ) = y ′ set ( t b ) - y ‾ T ( t b ) - - - ( 14 )
Y set(t) be moisture content of outlet setting value.
The optimization problem of dry tail stage process variable optimum setting is as follows:
min α pg J ′ = Σ k = 1 M ′ e T 2 ( t b ) - - - ( 15 )
M is the dry duration in tail stage.By solving above-mentioned optimization problem, can obtain the parameter value of optimum setting curve, thereby design the optimum input curve of each state-variable of dry tail stage of cut-tobacco drier.

Claims (8)

1. a cut-tobacco drier segment process variable optimal control method end to end, is characterized in that, the method is:
1) according to the operational process of cut-tobacco drier, set up the sequential relationship of drying cut tobacco inlet flow rate in silk process, entrance moisture, cylinder temperature, wind-warm syndrome, humidity discharging air door, moisture content of outlet, according to drying a dry stage of silk process, without cut tobacco moisture content of outlet detected value, dry tail stage, without cut tobacco inlet flow rate and inlet water, divide the feature of detected value simultaneously, adopt cubic function as the Cubic-RBF-ARX model of RBF, set up respectively the Cubic-RBF-ARX model that dries a dry stage of silk process and dry tail stage;
2) according to the cut-tobacco drier history data of section end to end, adopt structuring nonlinear parameter optimization method to optimize respectively the Cubic-RBF-ARX model that dries a dry stage of silk process and dry tail stage;
3), according to the Cubic-RBF-ARX model in a dry stage of the baking silk process of optimizing and dry tail stage, adopt two S type functions to describe the optimum input curve of the humidity discharging air door in a dry stage, wind-warm syndrome, cylinder temperature; Adopt jump function to describe the optimum input curve of the inlet flow rate in a dry stage; Adopt exponential function to describe the optimum input curve of dry tail stage humidity discharging air door, wind-warm syndrome, the gentle cylindrical shell electric machine frequency of cylinder;
4) adopt row dimension Bouguer Nai Kuier special formula method, the error of the moisture content of outlet predicted value calculating by the Cubic-RBF-ARX model of doing a stage and dry tail stage that makes to optimize and moisture content of outlet setting value is minimum, find out the parameter of the optimum input curve in a dry stage of baking silk process and dry tail stage, to adapt to the variation of supplied materials situation, reduce the siccative amount in dry tail stage.
2. cut-tobacco drier according to claim 1 segment process variable optimal control method end to end, is characterized in that, in described step 1), the dry stage Cubic-RBF-ARX model of cut-tobacco drier is:
Figure FDA0000432678420000011
Wherein:
Figure FDA0000432678420000021
Wherein, y h(t h) represent the moisture content of outlet of the dry stage Cubic-RBF-ARX model of cut-tobacco drier;
Figure FDA0000432678420000022
the humidity discharging throttle opening, wind-warm syndrome, cylinder temperature, inlet flow rate and the entrance moisture that represent respectively a dry stage Cubic-RBF-ARX model; X h(t h-1) be the state variable of inlet flow rate and entrance moisture; Np h, nq h, d hand m hall represent the order of a dry stage Cubic-RBF-ARX model;
Figure FDA0000432678420000023
be respectively the center of the RBF neutral net of a dry stage Cubic-RBF-ARX model output item and input item;
Figure FDA0000432678420000024
Figure FDA0000432678420000025
scalar weight coefficient for a dry stage Cubic-RBF-ARX model; || || fthe Frobenius norm of representing matrix; ξ h(t h) be the modeling error of a dry stage Cubic-RBF-ARX model, be white Gaussian noise; T 0 hfor a dry stage Cubic-RBF-ARX model modeling sampling time of cut-tobacco drier, T 1for from having inlet flow rate detected value to the time that has inlet water to divide detected value, T 2for from there being inlet water to divide detected value to the time that has moisture content of outlet detected value, T 3for from there being inlet water to divide detected value to the time of drying silk cylinder entrance, T 4for cut tobacco is in the time of drying the oven dry of silk cylinder.
3. cut-tobacco drier according to claim 1 and 2 segment process variable optimal control method end to end, is characterized in that, in described step 1), Cubic-RBF-ARX model of dry tail stage of cut-tobacco drier is:
Wherein:
Wherein, y t(t t) represent the moisture content of outlet of Cubic-RBF-ARX model of dry tail stage of cut-tobacco drier;
Figure FDA0000432678420000033
the cylinder temperature, hot blast wind-warm syndrome, humidity discharging throttle opening, inlet flow rate, entrance moisture and the cylindrical shell electric machine frequency that represent respectively dry tail stage Cubic-RBF-ARX model; X t(t t-1) be the state variable of hot blast wind-warm syndrome and cylindrical shell electric machine frequency; Np t, nq t, d tand m tthe order that all represents dry tail stage Cubic-RBF-ARX model; be respectively the center of the RBF neutral net of dry tail stage Cubic-RBF-ARX model output item and input item;
Figure FDA0000432678420000036
Figure FDA0000432678420000037
scalar weight coefficient for dry tail stage Cubic-RBF-ARX model; ξ t(t t) be dry tail stage Cubic-RBF-ARX model modeling error, be white Gaussian noise; T 0 tfor the dry tail of the cut-tobacco drier stage Cubic-RBF-ARX model modeling sampling time.
4. cut-tobacco drier according to claim 3 segment process variable optimal control method end to end, is characterized in that described step 2) in, the dry stage Cubic-RBF-ARX model optimization of cut-tobacco drier is as follows:
( θ ^ N H , θ ^ L H ) = arg min θ N H , θ L H Σ t oh = 1 N H ( y ‾ H ( t oh ) - y ^ H ( t oh ) ) 2
Wherein,
Figure FDA0000432678420000042
the actual value of the dry stage moisture content of outlet of cut-tobacco drier,
Figure FDA0000432678420000043
under actual input action, by the predicted value of the dry moisture content of outlet that stage Cubic-RBF-ARX model calculates of cut-tobacco drier; θ ^ L H = { ω 0 H , 0 , ω i H , 0 y H , ω n , j H , 0 u H , ω k H H , 0 , ω i H , k H y H , ω j H , k H u H | i H = 1 , . . . , np H ; j H = 1 , . . . , nq H ; k H = 1 , . . . , m H } Linear dimensions for the dry stage Cubic-RBF-ARX model of cut-tobacco drier;
Figure FDA0000432678420000045
nonlinear parameter for the dry stage Cubic-RBF-ARX model of cut-tobacco drier; N hfor the dry stage Cubic-RBF-ARX model modeling data length of cut-tobacco drier.
Cubic-RBF-ARX model optimization of dry tail stage of cut-tobacco drier is as follows:
( θ ^ N T , θ ^ L T ) = arg min θ N T , θ L T Σ t ot = 1 N T ( y ‾ T ( t ot ) - y ^ T ( t ot ) ) 2
Wherein,
Figure FDA0000432678420000047
it is the actual value of the dry tail process of cut-tobacco drier middle outlet moisture; under actual input action, the predicted value of the moisture content of outlet being calculated by the dry tail of cut-tobacco drier stage Cubic-RBF-ARX model; θ L T = { ω 0 T , 0 , ω i T , 0 y T , ω n , j T , 0 u T , ω k T T , 0 , ω i T , k T y T , ω j T , k T u T | i T = 1 , . . . , np T ; j T = 1 , . . . , nq T ; k T = 1 , . . . , m T } For the linear dimensions of the dry tail of cut-tobacco drier stage Cubic-RBF-ARX model,
Figure FDA00004326784200000410
nonlinear parameter for the dry tail of cut-tobacco drier stage Cubic-RBF-ARX model.N tfor the dry stage Cubic-RBF-ARX model modeling data length of cut-tobacco drier.
5. cut-tobacco drier according to claim 4 segment process variable optimal control method end to end, is characterized in that, in described step 3):
For describing two S type function expression formulas of the optimum input curve of the dry stage humidity discharging air door of cut-tobacco drier, wind-warm syndrome, cylinder temperature, be:
U sc ( t s ) = λ 1 1 + e t s - λ 2 λ 3 + λ 4 + λ 5 1 + e t s - λ 6 λ 7
Wherein, t sfor the time of input, unit is s; λ 1, λ 4, λ 5be respectively starting point, turning point and the end point values of two S type functions; λ 2, λ 6be respectively two symmetry axis centers of two S type functions; λ 3, λ 7be respectively the speed that two S type functions rise or decline; λ 3, λ 7be greater than at 0 o'clock and represent that S type function rises, λ 3, λ 7be less than at 0 o'clock and represent that S type function declines; C=1,2,3, U s1(t s) be the setting value of humidity discharging air door; U s2(t s) be the setting value of wind-warm syndrome; U s3(t s) be the setting value of cylinder temperature;
For describing the jump function expression formula of the optimum input curve of the dry stage inlet flow rate of cut-tobacco drier, be:
U T ( t T ) = κ 1 t T κ 2 t T ∈ [ 1 , κ 2 ] κ 1 t T ∈ [ κ 2 + 1 , κ 3 ] ;
Wherein, t tfor the time of input, unit is s; κ 1, κ 2, κ 3be respectively the rate of climb, rise time and the final value of jump function.
6. cut-tobacco drier according to claim 5 segment process variable optimal control method end to end, is characterized in that, in described step 4), by the dry stage Optimal Setting curve U of cut-tobacco drier sc(t s), U t(t t) input variable of the dry stage Cubic-RBF-ARX model of cut-tobacco drier described in substitution
Figure FDA0000432678420000052
in, obtain the dry moisture content of outlet predicted value that stage Cubic-RBF-ARX model calculates of cut-tobacco drier
Figure FDA0000432678420000053
by making a dry moisture content of outlet predicted value that stage Cubic-RBF-ARX model calculates
Figure FDA0000432678420000054
with moisture content of outlet setting value y set(t a) error e h(t a) minimum, adopt row dimension Bouguer Nai Kuier special formula method solving-optimizing problem
Figure FDA0000432678420000055
find out the parameter lambda of the input curve of a dry stage humidity discharging air door, wind-warm syndrome, cylinder temperature xparameter κ with inlet flow rate input curve 1, κ 2, κ 3; Wherein, x=1,2 ..., 7; G=1,2,3; M is the dry lasting time in a stage.
7. cut-tobacco drier according to claim 6 segment process variable optimal control method end to end, it is characterized in that, in described step 3), for describing the expression formula of exponential function of the optimum input curve of dry tail stage humidity discharging air door, wind-warm syndrome, the gentle cylindrical shell electric machine frequency of cylinder, be:
U zp ( t z ) = α p 1 × ( α p 2 ) t z + α p 3 p = 1,2,3,4 ;
U in formula z1(t z), U z2(t z), U z3(t z), U z4(t z) represent respectively the optimum input curve of dry tail stage humidity discharging air door, wind-warm syndrome, the gentle cylindrical shell electric machine frequency of cylinder.
8. cut-tobacco drier according to claim 7 segment process variable optimal control method end to end, is characterized in that, in described step 4), by the dry tail of cut-tobacco drier stage Optimal Setting curve U zp(t z) input variable of Cubic-RBF-ARX model of dry tail stage of cut-tobacco drier described in substitution
Figure FDA0000432678420000061
in, obtain the moisture content of outlet predicted value that the Cubic-RBF-ARX model in dry tail stage of cut-tobacco drier calculates
Figure FDA0000432678420000062
by the moisture content of outlet predicted value that the Cubic-RBF-ARX model in dry tail stage is calculated with moisture content of outlet setting value y' set(t b) error e t(t b) minimum, adopt row dimension Bouguer Nai Kuier special formula method solving-optimizing problem
Figure FDA0000432678420000064
find out the parameter alpha of dry tail stage humidity discharging air door, wind-warm syndrome, the optimum input curve of the gentle cylindrical shell electric machine frequency of cylinder pg; Wherein, g=1,2,3; M' is the dry duration in tail stage.
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